A numerical method for finding the convex hull of polygonal cavities using the enclosure method

A numerical method for finding cavities that is based on a formula in the enclosure method is discussed. It is a combination of: a method of estimating the value of the support function of cavities at a given direction by the slope of the logarithm of the indicator function; a rule to avoid poor estimation of the value of the support function at directions near a non-regular direction. We present the numerical testing of the method and show its effectiveness.